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Finite Element Programming in Non-linear Geomechanics and Transient Flow

Finite Element Programming in Non-linear Geomechanics and Transient Flow
Author: Nobuo Morita
Publisher: Gulf Professional Publishing
Total Pages: 551
Release: 2021-08-21
Genre: Science
ISBN: 0323911137

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Finite Element Programming in Non-linear Geomechanics and Transient Flow delivers a textbook reference for both students and practitioners alike, with provided codes to understand and modify. Starting with the fundamentals, the reference covers the basics of finite element methods, including coupling geomechanics and transient fluid flow. The next phase moves from theory into practical application from programs Flow3D and Geo3D, utilizing source codes to solve real field challenges. Stability of perforations during oil and gas production, sand production problems, rock failure, casing collapse, and reservoir compaction problems are just some examples. Next, the reference elevates to hands-on experience, sharing source codes with additional problems engineers can work on independently. This gives students and engineers a starting point to modify their own code in a fraction of the time. Helps users understand finite element programs such as Flow3D and Geo3D to solve geomechanics problems, including casing stability, reservoir compaction challenges, and sand production Bridges the gap between theory, applications and source codes to help readers develop or modify their own computer programs with provided source codes Includes cases studies and practice examples that illustrate real-world applications


Programming the Finite Element Method

Programming the Finite Element Method
Author: Ian M. Smith
Publisher: Wiley
Total Pages: 546
Release: 1998-01-12
Genre: Technology & Engineering
ISBN: 9780471965435

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Programming the Finite Element Method Third Edition I. M. Smith University of Manchester, UK. D. V. Griffiths Colorado School of Mines, USA. Following the highly successful previous editions, this Third edition contains programs and subroutine libraries fully updated in Fortran 90, which are also available on the Internet via anonymous ftp. A wide variety of new problem solving analyses are presented, including classical structural analysis, elasticity and plasticity, steady state and transient fluid flow, linear and non-linear solid dynamics and construction processes in geomechanics. The authors provide: * a clear outline of programming philosophy * programs which illustrate analytic rather than numerical evaluation of element properties * exercises for students to solve Unique elements of the text include: * practical problems in Fortran 90 * instructions to the reader for developing their own computer programs which use the finite element method to solve specific problems * guidelines towards vectorisable/parallelisable programs * 'Mesh-free' or 'element-by-element' techniques supplanting traditional 'mesh-dependent' or 'global element assembly' methods in every chapter. These improvements all contribute to a more comprehensive book with a wide appeal, but which will be of particular interest to students and practitioners in the application of the finite element method, and problems related to its use; undergraduates and postgraduates in civil engineering (applications in fields of Geomechanics), mechanical engineering (stress and fluid flow problems), applied mathematics and physics (solution of partial differential equations), and engineers in the fields as indicated above.


DYNA-FLOW

DYNA-FLOW
Author: Jean H. Prevost
Publisher:
Total Pages:
Release: 1981
Genre:
ISBN:

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Finite Element Techniques in Groundwater Flow Studies

Finite Element Techniques in Groundwater Flow Studies
Author: I. Kazda
Publisher: Elsevier
Total Pages: 328
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0444598324

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The finite element method (FEM) is one of those modern numerical methods whose rise and development was incited by the rapid development of computers. This method has found applications in all the technical disciplines as well as in the natural sciences.One of the most effective applications of the finite element method is its use for the solution of groundwater flow problems encountered in the design and maintenance of hydraulic structures and tailing dams, in soil mechanics, hydrology, hydrogeology and engineering geology.The stimuli to write this book came from the results obtained in the solution of practical problems connected both with the construction and maintenance of fill-type dams and tailing dams and the utilization of groundwater in Czechoslovakia, and on the other hand from the experience gained in teaching hydraulic structures theory at the Faculty of Civil Engineering of the Technical University of Prague. All the experience so far obtained shows markedly the advantages of the finite element method and the great possibilities of its further development as well as its considerable demands on the algorithmization, programming and use of computer possibilities. The reader will find an explanation of the fundamentals of the finite element method directed mainly toward isoparametric elements having an exceptional adaptability and numerical reliability. The finite element method application to groundwater flow concerns mainly two-dimensional problems, which occur most frequently in practice. Considerable attention is given to non-linear and non-stationary problems, which are most important in application.A computer program (based on the eight-noded isoparametric elements) is included and fully documented.The book will be useful to civil engineers, hydrogeologists and engineering geologists who need the finite element method as a solution tool for the complex problems encountered in engineering practice.


Numerical Methods in Geomechanics Volume 1

Numerical Methods in Geomechanics Volume 1
Author: G. Swoboda
Publisher: Routledge
Total Pages: 716
Release: 2017-11-01
Genre: Technology & Engineering
ISBN: 1351427679

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First Published in 2017. Routledge is an imprint of Taylor & Francis, an Informa company.


Programming the Finite Element Method

Programming the Finite Element Method
Author: I. M. Smith
Publisher: John Wiley & Sons
Total Pages: 692
Release: 2013-09-05
Genre: Technology & Engineering
ISBN: 1118535928

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Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method. This new fifth edition offers timely revisions that include programs and subroutine libraries fully updated to Fortran 2003, which are freely available online, and provides updated material on advances in parallel computing, thermal stress analysis, plasticity return algorithms, convection boundary conditions, and interfaces to third party tools such as ParaView, METIS and ARPACK. As in the previous editions, a wide variety of problem solving capabilities are presented including structural analysis, elasticity and plasticity, construction processes in geomechanics, uncoupled and coupled steady and transient fluid flow and linear and nonlinear solid dynamics. Key features: • Updated to take into account advances in parallel computing as well as new material on thermal stress analysis • Programs use an updated version of Fortran 2003 • Includes exercises for students • Accompanied by website hosting software Programming the Finite Element Method, Fifth Edition is an ideal textbook for undergraduate and postgraduate students in civil and mechanical engineering, applied mathematics and numerical analysis, and is also a comprehensive reference for researchers and practitioners. Further information and source codes described in this text can be accessed at the following web sites: • www.inside.mines.edu/~vgriffit /PFEM5 for the serial programs from Chapters 4-11 • www.parafem.org.uk for the parallel programs from Chapter 12


Programming the Finite Element Method

Programming the Finite Element Method
Author: Ian M. Smith
Publisher: John Wiley & Sons
Total Pages: 650
Release: 2004-10-01
Genre: Technology & Engineering
ISBN: 9780470849705

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This title demonstrates how to develop computer programmes which solve specific engineering problems using the finite element method. It enables students, scientists and engineers to assemble their own computer programmes to produce numerical results to solve these problems. The first three editions of Programming the Finite Element Method established themselves as an authority in this area. This fully revised 4th edition includes completely rewritten programmes with a unique description and list of parallel versions of programmes in Fortran 90. The Fortran programmes and subroutines described in the text will be made available on the Internet via anonymous ftp, further adding to the value of this title.


Very Slow Flows of Solids

Very Slow Flows of Solids
Author: L.A. Lliboutry
Publisher: Springer Science & Business Media
Total Pages: 518
Release: 2012-12-06
Genre: Science
ISBN: 9400935633

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This book is written primarily for Earth scientists faced with problems in thermo mechanics such as the flow and evolution of ice-sheets, convection currents in the mantle, isostatic rebound, folding of strata or collapse of cavities in salt domes. Failure, faults, seismic waves and all processes involving inertial terms will not be dealt with. In general such scientists (graduate students beginning a Ph. D. for instance) have too small a background'in continuum mechanics and in numerical computation to model conveniently these problems, which are not elementary at all. Most of them are not linear, and therefore seldom dealt with in treatises. If the study of reality were clearly cut into two successive steps: first to make a physical model, setting up a well-posed problem in thermo-mechanics, and second to solve it, the obvious solution would be to find a specialist in computational mechanics who could spend enough time on a problem which, although maybe crucial for on-going fundamental research, has little practical interest in general, and cannot be considered properly as a noteworthy progress in Mechanics. But this is not the way Science develops. There is a continuous dialectic between the building up of a model and its mathematical treatment. The model should be simple enough to be tractable, but not oversimplified. Its sensitivity to the different components it is made of should be investigated, and more thought is needed when the results contradict hard facts.